Homework SourseA Wheel of Fortuneish wheel is spun 90 times and the results
A Wheel of Fortune-ish wheel is spun 90 times and the results are indicated in the table below. Each outcome on the wheel is supposed to be equally likely. Is the sample enough evidence to suggest that each outcome is not equally likely?
Wheel of Fortune
Conduct a complete test (remembering all the parts and show all work)
| $25 | $50 | Bankrupt | $100 | $200 | $500 |
| 16 | 14 | 23 | 12 | 14 | 11 |
Solution
The sample information gives results for 90 times.
We have to check whether the events are equally likely.
Let us set null and alternate hypothesis as
H0: All events are equally likely
Ha: Atleast two events have different probability
Thus as per chi square test all events are equally likely and there is no significant difference between them
| x | $25 | $50 | Bankrupt | $100 | $200 | $500 | |
| Observed | 16 | 14 | 23 | 12 | 14 | 11 | 90.000 |
| Expected | 15 | 15 | 15 | 15 | 15 | 15 | 90.000 |
| Chi square | 0.2934604 | ||||||
| df | 5 | ||||||
| p value | 0.997765. The result is not significant at p < 0.05. |
